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Finding the Fourth Proportional to 423.28, 584 and 248.72

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Solution

The fourth proportional to 423.28, 584 and 248.72 is: 343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.28 : 584 = 248.72 : x
  2. Step 2: Convert to fraction form
    423.28/584 = 248.72/x
  3. Step 3: Cross multiply
    423.28x = 584 × 248.72
  4. Step 4: Simplify right side
    423.28x = 145,252.48
  5. Step 5: Solve for x
    x = 145,252.48/423.28
  6. Step 6: Final answer
    x = 343.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.